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Finding the Fourth Proportional to 1,202.15, 1,801.60 and 790.67

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Solution

The fourth proportional to 1,202.15, 1,801.60 and 790.67 is: 1,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.15 : 1,801.60 = 790.67 : x
  2. Step 2: Convert to fraction form
    1,202.15/1,801.60 = 790.67/x
  3. Step 3: Cross multiply
    1,202.15x = 1,801.60 × 790.67
  4. Step 4: Simplify right side
    1,202.15x = 1,424,471.07
  5. Step 5: Solve for x
    x = 1,424,471.07/1,202.15
  6. Step 6: Final answer
    x = 1,184.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.